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Finding the Third Proportional to 64,590 and 137,001

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Solution

The third proportional to 64,590 and 137,001 is: 290,591.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,590 : 137,001 = 137,001 : x
  2. Step 2: Convert to fraction form
    64,590/137,001 = 137,001/x
  3. Step 3: Cross multiply
    64,590x = 137,001 × 137,001
  4. Step 4: Simplify right side
    64,590x = 18,769,274,001
  5. Step 5: Solve for x
    x = 18,769,274,001/64,590
  6. Step 6: Final answer
    x = 290,591.02

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.